One week, Gabriel bought 2 bags of beans and 3 bags of rice. The next week, he bought 4 bags of beans and 1 bag of rice. Let b represent the cost of each bag of beans and r represent the cost of each bag of rice. Simplify the expression for the total cost, shown below. (2b+3r)+(4b+r) (1 point) Responses 2b+r 2 b plus r 6b+4r 6 b plus 4 r 6b+2r 6 b plus 2 r 5b+5r

1 answer

To simplify the expression \((2b + 3r) + (4b + r)\), we start by combining like terms.

  1. Combine the \(b\) terms:

    • \(2b + 4b = 6b\)
  2. Combine the \(r\) terms:

    • \(3r + r = 4r\)

So, the simplified expression is: \[ 6b + 4r \]

The correct response is 6b + 4r (6 b plus 4 r).